AI & ChatGPT searches , social queriess for BRAID ALGEBRA
Search references for BRAID ALGEBRA. Phrases containing BRAID ALGEBRA
See searches and references containing BRAID ALGEBRA!
Search references for BRAID ALGEBRA. Phrases containing BRAID ALGEBRA
See searches and references containing BRAID ALGEBRA!BRAID ALGEBRA
Topics referred to by the same term
A braid algebra can be: A Gerstenhaber algebra (also called an antibracket algebra). An algebra related to the braid group. This disambiguation page lists
Braid_algebra
Group whose operation is a composition of braids
braid group purely algebraically via the braid relations, keeping the pictures in mind only to guide the intuition. To explain how to reduce a braid group
Braid_group
Deformation of the group algebra of a Coxeter group
viewed as a q-analog of the group algebra of a Coxeter group. Hecke algebras are quotients of the group rings of Artin braid groups. This connection found
Iwahori–Hecke_algebra
theoretical physics, a Gerstenhaber algebra (sometimes called an antibracket algebra or braid algebra) is an algebraic structure discovered by Murray Gerstenhaber
Gerstenhaber_algebra
Algebra in statistical mechanics
to integrable models, knot theory and the braid groups, quantum groups and subfactors of von Neumann algebras. Let R {\displaystyle R} be a commutative
Temperley–Lieb_algebra
In mathematics, a braided Hopf algebra is a Hopf algebra in a braided monoidal category. The most common braided Hopf algebras are objects in a Yetter–Drinfeld
Braided_Hopf_algebra
{\displaystyle V} additionally possesses an algebra structure inside the braided category ("braided algebra") one has a braided commutator (e.g. for a superspace
Braided_vector_space
Computer system for solving algebra problems
a computer algebra system designed to solve problems in algebra, number theory, geometry and combinatorics. It is named after the algebraic structure magma
Magma (computer algebra system)
Magma_(computer_algebra_system)
Algebraic structure used in analysis
the algebra is defined is assumed to be of characteristic different from 2.) For the category-theoretic definition of Lie algebras, two braiding isomorphisms
Lie_algebra
Gives necessary and sufficient conditions for two braids to have equivalent closures
for two braids to have closures that are equivalent knots or links. The conditions are stated in terms of the group structures on braids. Braids are algebraic
Markov_theorem
Interlinked multi-loop construction where cutting one loop frees all the others
Brunnian braid is a braid that becomes trivial upon removal of any one of its strings. Brunnian braids form a subgroup of the braid group. Brunnian braids over
Brunnian_link
to Lie algebras over a class of braided monoidal categories equipped with a coproduct and some notion of a gradation compatible with the braiding in the
Graded_Lie_algebra
Mathematical invariant of a knot or link
braid, say with n strands. Now define a representation ρ {\displaystyle \rho } of the braid group on n strands, Bn, into the Temperley–Lieb algebra TL
Jones_polynomial
relations for the infinite braid group, together with the relations u2 i = 0. Similarly one can define a nil-Coxeter algebra for any Coxeter system, by
Nil-Coxeter_algebra
Object in category theory
diagram of a braided monoidal category and ignore the associator maps as implied. The category of representations of a group (or a Lie algebra) is a symmetric
Braided_monoidal_category
Algebra term in mathematics
In mathematics, a double affine Hecke algebra, or Cherednik algebra, is an algebra containing the Hecke algebra of an affine Weyl group, given as the
Double_affine_Hecke_algebra
Construction in algebra
In mathematics, a Hopf algebra, named after Heinz Hopf, is a structure that is simultaneously a (unital associative) algebra and a (counital coassociative)
Hopf_algebra
Universal construction in multilinear algebra
compared to before. Braided vector space Braided Hopf algebra Monoidal category Multilinear algebra Fock space Bourbaki, Nicolas (1989). Algebra I. Chapters 1-3
Tensor_algebra
Family of algebras
algebra C n {\displaystyle \mathrm {C} _{n}} . The Artin braid group embeds in the BMW algebra: B n ↪ C n {\displaystyle B_{n}\hookrightarrow \mathrm {C}
Birman–Wenzl_algebra
Algebraic construct of interest in theoretical physics
role of the quantum Borel algebra is taken by a Nichols algebra B ( V ) {\displaystyle {\mathfrak {B}}(V)} of the braided vectorspace. A crucial ingredient
Quantum_group
Possible statistical behavior of particles in quantum statistical mechanics
theoretical physics, braid statistics is a generalization of the spin statistics of bosons and fermions based on the concept of braid group. While for fermions
Braid_statistics
Application of group theory to cryptography
Paul, Kamakhya; Goswami, Pinkimani; Singh, Madan Mohan. (2022). "ALGEBRAIC BRAID GROUP PUBLIC KEY CRYPTOGRAPHY", Jnanabha, Vol. 52(2) (2022), 218-223
Group-based_cryptography
Quantum consistency equation
Yang–Baxter equation also shows up when discussing knot theory and the braid groups where R {\displaystyle R} corresponds to swapping two strands. Since
Yang–Baxter_equation
Mathematical monograph on braid groups
area because conjugate braids close off to form the same link, and on the "algebraic link problem" (not to be confused with algebraic links) in which one
Braids, Links, and Mapping Class Groups
Braids,_Links,_and_Mapping_Class_Groups
Partial differential equations of correlation functions
be described by the braid group B n {\displaystyle B_{n}} introduced by Emil Artin. In general, A complex semi-simple Lie algebra g {\displaystyle {\mathfrak
Knizhnik–Zamolodchikov equations
Knizhnik–Zamolodchikov_equations
Artin, a mathematician. Ankeny–Artin–Chowla congruence Artin algebra Artin billiards Artin braid group Artin character Artin conductor Artin's conjecture
List of things named after Emil Artin
List_of_things_named_after_Emil_Artin
In algebra, the Nichols algebra of a braided vector space (with the braiding often induced by a finite group) is a braided Hopf algebra which is denoted
Nichols_algebra
Hypercomplex number system
In mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented
Octonion
Type of monoidal category
instance, adding a quasitriangular structure to the weak Hopf algebra corresponds to adding a braiding on the representation category. In their original work
Modular_tensor_category
double construction. If the Hopf algebra H is quasitriangular, then the category of modules over H is braided with braiding c U , V ( u ⊗ v ) = T ( R ⋅ (
Quasitriangular_Hopf_algebra
Generalization of associativity properties
symmetric operad from symmetric to braid groups. In linear algebra, real vector spaces can be considered to be algebras over the operad R ∞ {\displaystyle
Operad
Cryptographic protocol
B} a set of conjugates in the braid group designed to commute with each other. The fundamental operation of the Algebraic Eraser is a one-way function
Algebraic_Eraser
Algebra used in 2D conformal field theories and string theory
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string
Vertex_operator_algebra
British-Israeli mathematician
the Hecke algebra", in Communications in Mathematical Physics, introduced, among other things, certain novel linear representations of the braid group –
Ruth_Lawrence
Tangle denominator closure Tangle numerator closure Reciprocal tangle Braid theory Braid group Band sum Flype Fox n-coloring Tricolorability Knot sum Reidemeister
List_of_knot_theory_topics
British mathematician and physicist
also known for a range of results in algebra and category theory, notably for his theory of braided Hopf algebras and for a new view of the octonions.
Shahn_Majid
Mathematical operation on vector spaces
induces a linear automorphism that is called a braiding map. More generally and as usual (see tensor algebra), let V ⊗ n {\displaystyle V^{\otimes n}} denote
Tensor_product
an affine braid group is a braid group associated to an affine Coxeter system. Their group rings have quotients called affine Hecke algebras. They are
Affine_braid_group
affine braid group is a group containing the braid group of an affine Weyl group. Their group rings have quotients called double affine Hecke algebras in
Double_affine_braid_group
Generalized Braid group on the Sphere
mathematics, the spherical braid group or Hurwitz braid group is a braid group on n strands. In comparison with the usual braid group, it has an additional
Spherical_braid_group
In the mathematical area of braid theory, the Dehornoy order is a left-invariant total order on the braid group, found by Patrick Dehornoy. Dehornoy's
Dehornoy_order
Tool in homological algebra
In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between
Chain_complex
Concept in theoretical mathematical physics
of 'braided linear algebra' for such spaces. The momentum space for the theory is another copy of the same algebra and there is a certain 'braided addition'
Quantum_spacetime
Type of monoidal category in category theory
is replaced by braided, then one gets the notion of PROB category. the category BijBraid of natural numbers, equipped with the braid group Bn as the
PROP_(category_theory)
Mathematical representation
In mathematics the Burau representation is a representation of the braid groups, named after and originally studied by the German mathematician Werner
Burau_representation
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known
List_of_group_theory_topics
Algebraic structure used in theoretical physics
In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie
Lie_superalgebra
Graphical notation for multilinear algebra calculations
presence of matrix groups to trace diagrams in linear algebra. In the language of multilinear algebra, each shape represents a multilinear function. The
Penrose_graphical_notation
Concept in mathematics
Daniel; Sabalka, Lucas (2005). "Discrete Morse theory and graph braid groups". Algebraic & Geometric Topology. 5 (3): 1075–1109. arXiv:math/0410539. doi:10
Configuration space (mathematics)
Configuration_space_(mathematics)
mathematics, a generalized Clifford algebra (GCA) is a unital associative algebra that generalizes the Clifford algebra, and goes back to the work of Hermann
Generalized_Clifford_algebra
Nichols algebra is a Hopf algebra in a braided category assigned to an object V in this category (e.g. a braided vector space). The Nichols algebra is a
List of finite-dimensional Nichols algebras
List_of_finite-dimensional_Nichols_algebras
Mathematical group
symmetric group, the associated Artin–Tits group is the braid group on n strands.) Although generalized braid groups are not reflection groups, they inherit a
Parabolic subgroup of a reflection group
Parabolic_subgroup_of_a_reflection_group
Group of real 2×2 matrices with unit determinant
the braid group on 3 generators, B3, which is the universal central extension of the modular group. These are lattices inside the relevant algebraic groups
SL2(R)
Type of quantum computer
important. In one space dimension, anyons are defined algebraically. Even though quantum braids are inherently more stable than trapped quantum particles
Topological_quantum_computer
American mathematician
S2CID 123023534. Birman, Joan S.; Wenzl, Hans (1989). "Braids, link polynomials and a new algebra". Transactions of the American Mathematical Society. 313:
Joan_Birman
Branch of mathematics that studies the properties of groups
In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known
Group_theory
Property that is not changed by mathematical transformations
Invariants are used in diverse areas of mathematics such as geometry, topology, algebra and discrete mathematics. Some important classes of transformations are
Invariant_(mathematics)
Type of mathematical group
problem to find an explicit set of generators for a given arithmetic group. Braid groups (which are defined as a finitely presented group) have faithful linear
Linear_group
Algebraic theory
The algebraic theory of topological quantum information is a collection of algebraic techniques developed and applied to topological aspects of condensed
Algebraic theory of topological quantum information
Algebraic_theory_of_topological_quantum_information
Klaus Roth and René Thom. Braid groups are linear Ruth Lawrence's 1990 paper, "Homological representations of the Hecke algebra", in Communications in Mathematical
List of inventions and discoveries by women
List_of_inventions_and_discoveries_by_women
Approach to knot theory by John Conway
and partitions the boundary into two (isomorphic) pieces, which is algebraically more convenient – it allows one to add tangles by stacking them, for
Tangle_(mathematics)
Linear operator acting on modular forms
certain quotients of the group algebras of braid groups. The presence of this commutative operator algebra plays a significant role in the harmonic analysis
Hecke_operator
Family of infinite discrete groups
group theory, Artin groups, also known as Artin–Tits groups or generalized braid groups, are a family of infinite discrete groups defined by simple presentations
Artin–Tits_group
type of braided monoidal category. It consists of modules over a Hopf algebra which satisfy some additional axioms. Let H be a Hopf algebra over a field
Yetter–Drinfeld_category
Integral polynomial
quadratic relation for Ts by −Ts−2q−1), and also the braid relations. From this it follows that the Hecke algebra has an automorphism D that sends q1/2 to q−1/2
Kazhdan–Lusztig_polynomial
Algebraic object with geometric applications
In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects associated with a vector space
Tensor
Quotient of a weakly contractible space by a free action
\operatorname {UConf} _{n}(\mathbb {R} ^{2})} is the classifying space of the Artin braid group B n {\displaystyle B_{n}} , and the ordered configuration space Conf
Classifying_space
Formula in Lie theory
{\displaystyle e^{X}e^{Y}=e^{Z}} for possibly noncommutative X and Y in the Lie algebra of a Lie group. There are various ways of writing the formula, but all
Baker–Campbell–Hausdorff formula
Baker–Campbell–Hausdorff_formula
Basis of a type of algebraic structure
In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate
Canonical_basis
Notion in statistical mechanics
Maxwell–Boltzmann statistics). Other alternatives include anyonic statistics and braid statistics, both of these involving lower spacetime dimensions. Herbert
Parastatistics
Graded vector space with applications to theoretical physics
super linear algebra. These objects find their principal application in theoretical physics where they are used to describe the various algebraic aspects of
Super_vector_space
Collection of knots that do not intersect, but may be linked
called a pure braid, and corresponds with the usual such notion. The key technical value of tangles and string links is that they have algebraic structure
Link_(knot_theory)
History of maths
Categories of abstract algebraic structures including representation theory and universal algebra; Homological algebra; Homotopical algebra; Topology using categories
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Symmetric monoidal infinity category
In mathematics, an E n {\displaystyle {\mathcal {E}}_{n}} -algebra in a symmetric monoidal infinity category C consists of the following data: An object
En-ring
American mathematician
(1996). "Braid group actions on left distributive structures, and well orderings in the braid groups". Journal of Pure and Applied Algebra. 108: 81–98
Richard_Laver
quotient of the group algebra of the braid group, so representations of the Temperley–Lieb algebra give representations of the braid group, which in turn
Subfactor
Number line and triangular tiling's symmetry mathematical structure
corresponding general theory for general infinite-dimensional Lie algebras. Allcock, Daniel (2002), "Braid pictures for Artin groups", Trans. Amer. Math. Soc., 354
Affine_symmetric_group
Series of young adult novels by Meg Cabot
Frank Gianini: Mia's algebra and homeroom teacher and he dates her mother, Helen. Mia grows to appreciate his after-school algebra review sessions, and
The_Princess_Diaries
Element of algebraic structure
In mathematics, a Garside element is an element of an algebraic structure such as a monoid that has several desirable properties. Formally, if M is a
Garside_element
Group of symmetries of an n-dimensional hypercube
Nge, Kie Seng (2024), "Curves in the disc, the type B braid group, and a type B zigzag algebra", Quantum Topol., 15 (2): 337–417, doi:10.4171/qt/198\
Hyperoctahedral_group
Particle
because these anyons allow for universal quantum computing based entirely on braiding and performing topological charge measurements, and hence form a natural
Fibonacci_anyons
Russian mathematician
pp. 47–64, Arxiv with B. Enriquez, C. Torossian: Drinfeld associators, braid groups and explicit solutions of the Kashiwara-Vergne equations, Publ. Math
Anton Alekseev (mathematician)
Anton_Alekseev_(mathematician)
French mathematician (1952–2019)
applications of large cardinals to algebra by constructing a certain left-invariant total order, called the Dehornoy order, on the braid group. In his later career
Patrick_Dehornoy
Simplest nontrivial knot link
number of the Hopf link is ±1. The Hopf link is a (2,2)-torus link with the braid word σ 1 2 {\displaystyle \sigma _{1}^{2}} . The knot complement of the
Hopf_link
Theory in number theory
in some of such combinatorial ideas of the arithmetic of braid groups and their Lie algebras of Makoto Matsumoto et al., then later in Mochizuki's proofs
Anabelian_geometry
(1770) Also known as Elements of Algebra, Euler's textbook on elementary algebra is one of the first to set out algebra in the modern form we would recognize
List of publications in mathematics
List_of_publications_in_mathematics
Mathematical concept
on set theory) are tables of numbers that have certain properties of algebraic and combinatorial interest. They occur in the study of racks and quandles
Laver_table
Mathematical notation for tensors and spinors
abstract indices is fixed (usually this is a lexicographic ordering). The braid is then represented in notation by permuting the labels of the indices.
Abstract_index_notation
Mathematical group
quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal(Q/Q)", Rossiĭskaya Akademiya Nauk. Algebra i Analiz (in Russian), 2
Grothendieck–Teichmüller group
Grothendieck–Teichmüller_group
Mathematical concept in category theory
branch of mathematics, a monoid (or monoid object, or internal monoid, or algebra) ( M , μ , η ) {\displaystyle (M,\mu ,\eta )} in a monoidal category (
Monoid_(category_theory)
Theorem in category theory
Street, R. (1986). "Braided monoidal categories" (PDF). Macquarie Math Reports. 86–0081 – via nLab. Joyal, A.; Street, R. (1993). "Braided Tensor Categories"
Mac_Lane's_coherence_theorem
(physics) Lattice gauge theory BRST charge Anomaly (physics) Chiral anomaly Braid statistics Plekton quantum computing qubit qutrit pure qubit state quantum
List of mathematical topics in quantum theory
List_of_mathematical_topics_in_quantum_theory
French mathematician, musician and chemist
expression will be of little use in practice. The craftsman who fashions a braid, a net, or some knots will be concerned, not with questions of measurement
Alexandre-Théophile Vandermonde
Alexandre-Théophile_Vandermonde
Variant of the notion of the center of a monoid, group, or ring to a category
product. The category Z ( C ) {\displaystyle {\mathcal {Z(C)}}} becomes a braided monoidal category with the tensor product on objects defined as ( A , u
Center_(category_theory)
Category admitting tensor products
ordinary tensor product makes vector spaces, abelian groups, R-modules, or R-algebras into monoidal categories. Monoidal categories can be seen as a generalization
Monoidal_category
German polymath and scholar (1777–1855)
His mathematical contributions spanned the branches of number theory, algebra, analysis, geometry, statistics, and probability. Gauss was director of
Carl_Friedrich_Gauss
Tools for studying groups based on techniques from algebraic topology
abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well as in applications to group theory proper. As in algebraic topology
Group_cohomology
Moduli spaces of ramified covers
In mathematics, in particular algebraic geometry, Hurwitz spaces are moduli spaces of ramified covers of the projective line, and they are related to
Hurwitz_space
generalization of the above theorem to higher dimensions Gauss's braid in braid theory – a four-strand braid Gauss–Codazzi equations Gauss–Manin connection, a connection
List of things named after Carl Friedrich Gauss
List_of_things_named_after_Carl_Friedrich_Gauss
polynomial Jones polynomial Knot group Writhe Quandle Seifert surface Braids Braid theory Braid group Kirby calculus Genus (mathematics) Examples Positive Euler
List of geometric topology topics
List_of_geometric_topology_topics
BRAID ALGEBRA
BRAID ALGEBRA
Boy/Male
Arabic, Muslim
Another Name for God; Away; Distant
Boy/Male
English American Welsh
Broad clearing in the wood. From a surname and place name based on the Old English words for...
Boy/Male
American, Anglo, Australian, British, English, German, Norse, Norwegian, Scandinavian, Swedish
Proud; Firebrand; Sword Blade; Sword; Fiery Torch; Beacon
Girl/Female
Danish, Hindu, Indian, Marathi, Sanskrit, Tamil
Braid
Boy/Male
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Parsi, Telugu
Cloud
Boy/Male
Norse English German
Firebrand.
Male
English
Variant spelling of English unisex Brady, possibly BRAIDY means "large-chested."Â
Boy/Male
Hindu
Messenger, Partner, Cloud
Girl/Female
Indian, Sanskrit
Braid of Flowers
Boy/Male
American, Australian, German, Irish
High; Noble
Boy/Male
Muslim
Leader
Surname or Lastname
English
English : unexplained.Variant of Dutch Bradt.Romanian : unexplained.
Surname or Lastname
English, Scottish, Scandinavian, North German, and Dutch
English, Scottish, Scandinavian, North German, and Dutch : from the Germanic personal name Brando, a short form of various compound personal names containing the element brand ‘sword’ (a derivative of brinnan ‘to flash’), of which the best known is Hildebrand. There is place name evidence for Brant(a) as an Old English personal name; however, the Middle English personal name Brand was probably introduced to England from Old Norse; Brandr is a common Old Norse personal name.English : topographic name for someone who lived by a place where burning had occurred, from Old English brand, or a habitational name from a minor place named with this word, as for example The Brand in Northamptonshire and Nottinghamshire.German : variant of Brandt 1.Scandinavian : from the personal name Brand, Brant, from Old Norse Brandr (see 1).Swedish : ornamental name from brand ‘fire’.Jewish (Ashkenazic) : ornamental name or nickname from German Brant ‘fire’, ‘conflagration’.
Female
English
Variant spelling of English unisex Brady, BRAIDY means "broad-chested."Â
Boy/Male
English
Broad; wide.
Boy/Male
American, Australian, British, English
Broad
Girl/Female
Celtic Irish
Strong.
Male
Portuguese
Galician-Portuguese form of Latin Blasius, BRAIS means "talks with a lisp."Â
Male
English
Short form of English names beginning with Brad-, from Old English brád, BRAD means "broad."
Girl/Female
Celtic, French, German, Irish
Strong; Protective
BRAID ALGEBRA
BRAID ALGEBRA
Boy/Male
Indian, Sanskrit
Imperishable
Boy/Male
Muslim
Powerful
Surname or Lastname
English
English : perhaps an altered form of Warlock, an English surname of uncertain origin; it is more likely to be from Old Norse varðlokkur ‘incantations’ than from Old English wǣrloga ‘traitor’, ‘devil’.
Surname or Lastname
English
English : perhaps an occupational name for a maker of bottles or cups, from Old French gourde ‘water vessel’, ‘flask’, but possibly of the same derivation as 2.French : from Old French gourd ‘heavy’, ‘dull’, ‘sluggish’, hence a nickname for a slow lumbering person.
Boy/Male
Hindu, Indian, Tamil
Chakara of Lord Krishna
Boy/Male
Hindu
Girl/Female
Hindu
Girl/Female
Native American
Thunder.
Boy/Male
Hindu, Indian
Lord of Earth
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya, Sanskrit, Telugu
Strong
BRAID ALGEBRA
BRAID ALGEBRA
BRAID ALGEBRA
BRAID ALGEBRA
BRAID ALGEBRA
v. t.
A mark made by burning with a hot iron, as upon a cask, to designate the quality, manufacturer, etc., of the contents, or upon an animal, to designate ownership; -- also, a mark for a similar purpose made in any other way, as with a stencil. Hence, figurately: Quality; kind; grade; as, a good brand of flour.
v. t.
To mingle, or to bring to a uniformly soft consistence, by beating, rubbing, or straining, as in some culinary operations.
imp. &. p. p.
of Braid
v. t.
To reproach. [Obs.] See Upbraid.
n.
A quick motion; a start.
v. t.
To braid.
n.
A fancy; freak; caprice.
p. pr. & vb. n.
of Braid
v. t.
Deceitful.
v. t.
An instrument to brand with; a branding iron.
v. t.
To braid.
v. i.
To start; to awake.
v. t.
To make a raid upon or into; as, two regiments raided the border counties.
n.
A plait, band, or narrow fabric formed by intertwining or weaving together different strands.
v. t.
To haul up by the brails; -- used with up; as, to brail up a sail.
n.
An attack or invasion for the purpose of making arrests, seizing property, or plundering; as, a raid of the police upon a gambling house; a raid of contractors on the public treasury.
v. t.
To weave, interlace, or entwine together, as three or more strands or threads; to form into a braid; to plait.
n.
A braid.
n.
A narrow fabric, as of wool, silk, or linen, used for binding, trimming, or ornamenting dresses, etc.